If a neuron had a mutation that prevented the production of voltage gated na+ channels, what function would the neuron not be able to accomplish?

The answer is generation and propagation of action potential.

Na+ channels are important for generation and propagation of action potential. In normal neurons, when neurons hit threshold and action potential is triggered, the Na+ channels open and Na+ ions enter the neuron. After the depolarization of membrane, Na+ channels inactivate. Thus, without Na+ channels, neurons would not be able to depolarize and consequently, the action potential would not be generated.

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